5 + .04t < 2 + .10t
3 < .06t
t > 3/.06 = 50
3 < .06t
t > 3/.06 = 50
Let's assume x represents the number of minutes you talk on the phone per month.
For Company A, the total monthly cost is calculated as:
Cost_A = $5.00 (base rate) + 0.04x (4 cents per minute)
For Company B, the total monthly cost is calculated as:
Cost_B = $2.00 (base rate) + 0.10x (10 cents per minute)
Now, we need to find the value of x where Cost_A becomes less than Cost_B:
$5.00 + 0.04x < $2.00 + 0.10x
Simplifying the equation:
0.04x - 0.10x < $2.00 - $5.00
-0.06x < -$3.00
Dividing both sides by -0.06 (note that dividing by a negative number reverses the inequality):
x > -$3.00 / -0.06
x > 50
Therefore, if you talk on the phone for more than 50 minutes per month, subscribing to Company A would save you money compared to Company B.
For Company A:
- Base rate: $5.00 per month
- Additional cost: 4 cents per minute
For Company B:
- Base rate: $2.00 per month
- Additional cost: 10 cents per minute
Let's assume the amount of time per month you talk on the phone is represented by T (in minutes).
Cost with Company A:
Base rate + (Additional cost per minute x T) = $5.00 + ($0.04 x T) = $5.00 + 0.04T
Cost with Company B:
Base rate + (Additional cost per minute x T) = $2.00 + ($0.10 x T) = $2.00 + 0.10T
To find out when Company A becomes cheaper, we need to set up an equation and solve for T:
$5.00 + 0.04T = $2.00 + 0.10T
Subtracting $2.00 from both sides:
$3.00 + 0.04T = 0.10T
Subtracting 0.04T from both sides:
$3.00 = 0.06T
Dividing both sides by 0.06:
$3.00 / 0.06 = T
T ≈ 50
So, you would have to talk for approximately 50 minutes per month for Company A to save you money compared to Company B.